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fiasKO [112]
3 years ago
12

During his first three months with the Houston Astros, Yordan Álvarez's batting average was represented by three hundred sevente

en thousandths.
What is the value of the digit in the hundredths place written using numerals and expanded notation?
0.3 and (3 x110)
100 and (1 x 100)
0.01 and (1 x1100)
0.007 and (7 x11000)
Mathematics
1 answer:
n200080 [17]3 years ago
5 0

Answer:

The correct option is;

0.01 and (1 × 1/100)

Step-by-step explanation:

The given parameters includes;

The batting average of Yordan Alvarez's = 0.317

Therefore, we have;

The digit in the hundredths place = 0.01

The expanded notation for the value of the hundredth place is given by the product of the digit and the place value digit as follows;

The expanded notation = 1 × 1/100.

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israel started to solve a radical equation in this way: square root of x plus 6 − 4 = x square root of x plus 6 − 4 4 = x 4 squa
agasfer [191]

Lets solve our radical equation \sqrt{x+6}-4=x step by step.

Step 1 add 4 to both sides of the equation:

\sqrt{x+6} -4+4=x +4

\sqrt{x} +6=x+4

Step 2 square both sides of the equation:

\sqrt{x+6} =x+4

\sqrt{x+6}^2 =(x+4)^2

x+6=(x+4)^2

Step 3 expand the binomial in the right hand side:

x+6=x^2+8x+16

Step 4 simplify the expression:

0=x^2+8x-x+16-6

x^2+7x+10=0

Step 5 factor the expression:

(x+2)(x+5)=0

Step 6 solve for each factor:

x+2=0 or x+5=0

x=-2 or x=-5

Now we are going to check both solutions in the original equation to prove if they are valid:

For x=-2

\sqrt{x+6}-4=x

\sqrt{-2+6}-4=-2

\sqrt{4}-4=-2

2-4=-2

-2=-2

The solution x=2 is a valid solution of the rational equation \sqrt{x+6}-4=x.

For x=-5

\sqrt{x+6}-4=x

\sqrt{-5+6}-4=-5

\sqrt{1}-4=-5

1-4=-5

-3\neq -5

Since -3 is not equal to -5, the solution x=-5 is not a valid solution of the rational equation \sqrt{x+6}-4=x; therefore, x=-5 is an extraneous solution of the equation.

We can conclude that even all the algebraic procedures of Israel are correct, he did not check for extraneous solutions.

An extraneous solution of an equation is the solution that emerges from the algebraic process of solving the equation but is not a valid solution of the equation. Is worth pointing out that extraneous solutions are particularly frequent in rational equation.

8 0
3 years ago
Alan saved $80 from his income in the month of March. In April, he decided to save 140% as much as he did in March. How much wil
Kruka [31]
80×140%
80×1.4
112 saved
5 0
3 years ago
Read 2 more answers
Question<br> Find the surface area of the prism.<br><br><br><br><br> m2
Art [367]

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

5 0
2 years ago
If cos(x)=-1/4 and tan(x)&lt;0 what is sin(2x)​
nata0808 [166]

By definition of tangent,

tan(<em>x</em>) = sin(<em>x</em>) / cos(<em>x</em>)

so if tan(<em>x</em>) < 0, and we're given cos(<em>x</em>) = -1/4 < 0, then it follows that sin(<em>x</em>) > 0.

Recall the Pythagorean identity:

cos²(<em>x</em>) + sin²(<em>x</em>) = 1   →   sin(<em>x</em>) = + √(1 - cos²(<em>x</em>))

Then

sin(<em>x</em>) = √(1 - (-1/4)²) = √(15/16) = √(15)/4

Recall the double angle identity:

sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)

Then

sin(2<em>x</em>) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8

8 0
3 years ago
What’s the answer to my question?
Ksivusya [100]

Answer:

x=0

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

4 0
3 years ago
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